Rule: Q[1, 46, 94]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size! The complete polynomials are included in the download.

• $P_1$:
  $t$
• $P_2$:
  $t^{47}-\frac{47}{4}\cdot t^{45}+\frac{517}{8}\cdot t^{43}-\frac{14147}{64}\cdot t^{41}+\frac{67445}{128}\cdot t^{39}-\frac{475969}{512}\cdot t^{37}+\frac{1288599}{1024}\cdot t^{35}-\frac{21906183}{16384}\cdot t^{33}+\frac{18536001}{16384}\cdot t^{31}-\frac{50404915}{65536}\cdot t^{29}+\frac{55309177}{131072}\cdot t^{27}-\frac{196096173}{1048576}\cdot t^{25}+\frac{140068695}{2097152}\cdot t^{23}-\frac{160350135}{8388608}\cdot t^{21}+\frac{72886425}{16777216}\cdot t^{19}-\frac{830905245}{1073741824}\cdot t^{17}+\frac{455657715}{4294967296}\cdot t^{15}-\frac{187623765}{17179869184}\cdot t^{13}+\frac{28035735}{34359738368}\cdot t^{11}-\frac{11593725}{274877906944}\cdot t^9+\frac{772915}{549755813888}\cdot t^7-\frac{59455}{2199023255552}\cdot t^5+\frac{1081}{4398046511104}\cdot t^3-\frac{47}{70368744177664}\cdot t$
• $P_3$:
  $t^{141}-\frac{141}{4}\cdot t^{139}+\frac{9729}{16}\cdot t^{137}-\frac{109463}{16}\cdot t^{135}+\frac{7226955}{128}\cdot t^{133}-\frac{373165947}{1024}\cdot t^{131}+\frac{7845698861}{4096}\cdot t^{129}-\frac{2157985401}{256}\cdot t^{127}+\frac{129819858597}{4096}\cdot t^{125}-\frac{1693777616375}{16384}\cdot t^{123}+\frac{19402157947575}{65536}\cdot t^{121}-\frac{49251631713075}{65536}\cdot t^{119}+\frac{893528956737725}{524288}\cdot t^{117}-\frac{233211057708546225}{67108864}\cdot t^{115}+\frac{1719570847333543875}{268435456}\cdot t^{113}-\frac{1439344487027336725}{134217728}\cdot t^{111}+\frac{70297584746415125649}{4294967296}\cdot t^{109}-\frac{392572660168310654241}{17179869184}\cdot t^{107}+\frac{2011092643012185835773}{68719476736}\cdot t^{105}-\frac{2368543104151538969655}{68719476736}\cdot t^{103}+\frac{20565218059682701169583}{549755813888}\cdot t^{101}-\frac{164848176510154985565705}{4398046511104}\cdot t^{99}+\frac{610907948243515534743495}{17592186044416}\cdot t^{97}-\frac{131005315356568180258185}{4398046511104}\cdot t^{95}+\frac{1666492117000219159124775}{70368744177664}\cdot t^{93}-\frac{4916726397604784526024681}{281474976710656}\cdot t^{91}+\frac{13467554915178322832154561}{1125899906842624}\cdot t^{89}-\frac{8567080092241441229811121}{1125899906842624}\cdot t^{87}+\frac{40517631637263251126072571}{9007199254740992}\cdot t^{85}-\frac{356275726465590656453396745}{144115188075855872}\cdot t^{83}+\frac{728171950247690693039585059}{576460752303423488}\cdot t^{81}-\frac{172967530703996909490341319}{288230376151711744}\cdot t^{79}+\frac{4889109744027655762749922971}{18446744073709551616}\cdot t^{77}-\frac{8027797480934298968465922903}{73786976294838206464}\cdot t^{75}+\frac{12246914793618845320227012675}{295147905179352825856}\cdot t^{73}-\frac{4337586533373359232015712845}{295147905179352825856}\cdot t^{71}+\frac{11406246069241055758263541185}{2361183241434822606848}\cdot t^{69}-\frac{27816063699001576724413999605}{18889465931478580854784}\cdot t^{67}+\frac{31426324393711030218538248915}{75557863725914323419136}\cdot t^{65}-\frac{1027004065153955235899942775}{9444732965739290427392}\cdot t^{63}+\frac{3971760275734009060817006415}{151115727451828646838272}\cdot t^{61}-\frac{3545522587606456868924449629}{604462909807314587353088}\cdot t^{59}+\frac{2917936097832923377936379661}{2417851639229258349412352}\cdot t^{57}-\frac{552565972014872533363367577}{2417851639229258349412352}\cdot t^{55}+\frac{769035115690801979423243535}{19342813113834066795298816}\cdot t^{53}-\frac{3924927368229352324611961449}{618970019642690137449562112}\cdot t^{51}+\frac{2290289425396990486901716635}{2475880078570760549798248448}\cdot t^{49}-\frac{152409481907359710988932705}{1237940039285380274899124224}\cdot t^{47}+\frac{590518458572960027165004495}{39614081257132168796771975168}\cdot t^{45}-\frac{259367024839055202703351575}{158456325028528675187087900672}\cdot t^{43}+\frac{102948757551501911226868779}{633825300114114700748351602688}\cdot t^{41}-\frac{9195858517672284009371721}{633825300114114700748351602688}\cdot t^{39}+\frac{5889482421430563916114473}{5070602400912917605986812821504}\cdot t^{37}-\frac{3363975379650733763406723}{40564819207303340847894502572032}\cdot t^{35}+\frac{852092529115447675277565}{162259276829213363391578010288128}\cdot t^{33}-\frac{11889663196959735003873}{40564819207303340847894502572032}\cdot t^{31}+\frac{9291921658128196263531}{649037107316853453566312041152512}\cdot t^{29}-\frac{1575822971261506968669}{2596148429267413814265248164610048}\cdot t^{27}+\frac{229793877404565411717}{10384593717069655257060992658440192}\cdot t^{25}-\frac{7124655148963375725}{10384593717069655257060992658440192}\cdot t^{23}+\frac{1483570166821180295}{83076749736557242056487941267521536}\cdot t^{21}-\frac{510737270544996495}{1329227995784915872903807060280344576}\cdot t^{19}+\frac{35661932733031605}{5316911983139663491615228241121378304}\cdot t^{17}-\frac{246745159325005}{2658455991569831745807614120560689152}\cdot t^{15}+\frac{336470671806825}{340282366920938463463374607431768211456}\cdot t^{13}-\frac{10625389636005}{1361129467683753853853498429727072845824}\cdot t^{11}+\frac{236119769689}{5444517870735015415413993718908291383296}\cdot t^9-\frac{857231919}{5444517870735015415413993718908291383296}\cdot t^7+\frac{14505939}{43556142965880123323311949751266331066368}\cdot t^5-\frac{116795}{348449143727040986586495598010130648530944}\cdot t^3+\frac{141}{1393796574908163946345982392040522594123776}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev T (first kind) type can be downloaded here packed into a single file.